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71694566656 = 282339730671
BaseRepresentation
bin100001011000101010…
…1000100010100000000
320212001111222100022121
41002301111010110000
52133312302113111
652534103214024
75115441522136
oct1026125042400
9225044870277
1071694566656
1128450794089
1211a8a447314
1369b7540b0b
143681ac5756
151ce928e871
hex10b1544500

71694566656 has 72 divisors (see below), whose sum is σ = 149712240384. Its totient is φ = 34201221120.

The previous prime is 71694566609. The next prime is 71694566717. The reversal of 71694566656 is 65666549617.

It is a super-2 number, since 2×716945666562 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71694566594 and 71694566603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2322201 + ... + 2352871.

It is an arithmetic number, because the mean of its divisors is an integer number (2079336672).

Almost surely, 271694566656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71694566656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74856120192).

71694566656 is an abundant number, since it is smaller than the sum of its proper divisors (78017673728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71694566656 is a wasteful number, since it uses less digits than its factorization.

71694566656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31107 (or 31093 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 61.

The spelling of 71694566656 in words is "seventy-one billion, six hundred ninety-four million, five hundred sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 397 736 794 1472 1588 2944 3176 5888 6352 9131 12704 18262 25408 30671 36524 50816 61342 73048 101632 122684 146096 245368 292192 490736 584384 705433 981472 1168768 1410866 1962944 2337536 2821732 3925888 5643464 7851776 11286928 12176387 22573856 24352774 45147712 48705548 90295424 97411096 180590848 194822192 280056901 389644384 560113802 779288768 1120227604 1558577536 2240455208 3117155072 4480910416 8961820832 17923641664 35847283328 71694566656